What is 61.8 percent of 49.85 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 49.85 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 49.85 is 100%, so we can write it down as 49.85=100%.
4. We know, that x is 61.8% of the output value, so we can write it down as x=61.8%.
5. Now we have two simple equations:
1) 49.85=100%
2) x=61.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
49.85/x=100%/61.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 61.8% of 49.85

49.85/x=100/61.8
(49.85/x)*x=(100/61.8)*x       - we multiply both sides of the equation by x
49.85=1.6181229773463*x       - we divide both sides of the equation by (1.6181229773463) to get x
49.85/1.6181229773463=x
30.8073=x
x=30.8073

now we have:
61.8% of 49.85=30.8073